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Algebraic Functions - Factor the Quadratic Equation with Coefficient (Level 2)

This math topic focuses on advanced algebraic skills involving the factorization of quadratic equations with coefficients. It is part of a broader unit on polynomials and quadratics. Students are given quadratic expressions and must select the equivalent factored expression from multiple choices. Each question presents a quadratic equation with a latex-rendered image, and students need to choose the correct factorization, also provided as latex-rendered images. This exercise helps develop proficiency in recognizing different forms of quadratic expressions and transforms them into product forms involving binomials.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Factor the Quadratic Equation with Coefficient

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Which answer is the same expression as this

20x2+76x+7220x^2 + 76x + 72

Algebraic Functions - Factor the Quadratic Equation with Coefficient Worksheet

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Math worksheet on 'Algebraic Functions - Factor the Quadratic Equation with Coefficient (Level 2)'. Part of a broader unit on 'Polynomials and Quadratics - Advanced' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_advanced/
1
Which answer is the same expression as this
A LaTex expression showing 72p to the power of 2 + 100p + 32
a A LaTex expression showing (8p + 8)(p + 4)
b A LaTex expression showing (8p + 8)(89p - 4)
c A LaTex expression showing (9p + 8)(p + 4)
d A LaTex expression showing (100p - 8)(9p + 4)
e A LaTex expression showing (9p + 8)(8p + 4)
f A LaTex expression showing (32p - 8)(p + 4)
2
Which answer is the same expression as this
A LaTex expression showing 12d to the power of 2 + 41d + 24
a A LaTex expression showing (4d + 8)(43d - 3)
b A LaTex expression showing (4d + 8)(d + 3)
c A LaTex expression showing (3d + 8)(d + 3)
d A LaTex expression showing (41d - 8)(3d + 3)
e A LaTex expression showing (3d + 8)(4d + 3)
f A LaTex expression showing (24d - 8)(d + 3)
3
Which answer is the same expression as this
A LaTex expression showing 16b to the power of 2 + 44b + 18
a A LaTex expression showing (44b - 9)(4b + 2)
b A LaTex expression showing (4b + 9)(44b - 2)
c A LaTex expression showing (18b - 9)(b + 2)
d A LaTex expression showing (4b + 9)(b + 2)
e A LaTex expression showing (4b + 9)(4b + 2)
f A LaTex expression showing (4b + 9)(b + 2)
4
Which answer is the same expression as this
A LaTex expression showing 24b to the power of 2 + 6b - 63
a A LaTex expression showing (6b + 7)(b + 9)
b A LaTex expression showing (63b - 7)(b + 9)
c A LaTex expression showing (4b + 7)(6b - 9)
d A LaTex expression showing (4b - 7)(b + 9)
e A LaTex expression showing (6b - 7)(64b - 9)
f A LaTex expression showing (6b - 7)(4b + 9)
5
Which answer is the same expression as this
A LaTex expression showing 24d to the power of 2 + 44d - 28
a A LaTex expression showing (8d - 7)(83d - 4)
b A LaTex expression showing (8d + 7)(d + 4)
c A LaTex expression showing (44d - 7)(3d + 4)
d A LaTex expression showing (28d - 7)(d + 4)
e A LaTex expression showing (3d + 7)(8d - 4)
f A LaTex expression showing (3d - 7)(d + 4)
6
Which answer is the same expression as this
A LaTex expression showing 20x to the power of 2 + 76x + 72
a A LaTex expression showing (5x + 8)(x + 9)
b A LaTex expression showing (5x + 8)(54x - 9)
c A LaTex expression showing (76x - 8)(4x + 9)
d A LaTex expression showing (4x + 8)(5x + 9)
e A LaTex expression showing (4x + 8)(x + 9)
f A LaTex expression showing (72x - 8)(x + 9)
7
Which answer is the same expression as this
A LaTex expression showing 54d to the power of 2 - 3d - 40
a A LaTex expression showing (9d + 5)(d + 8)
b A LaTex expression showing (9d - 5)(96d - 8)
c A LaTex expression showing (40d - 5)(d + 8)
d A LaTex expression showing (6d - 5)(d + 8)
e A LaTex expression showing (6d + 5)(9d - 8)
f A LaTex expression showing (3d - 5)(6d + 8)